Local fields in conductor surface electromigration: A first-principles study in the low-bias ballistic limit

Physical Review B - Condensed Matter and Materials Physics

Volumn 85, Issue 23, 2012, Pages

  Bevan, Kirk H ^a,b   Zhu, Wenguang ^b,c   Stocks, G Malcolm ^b   Guo, Hong ^a   Zhang, Zhenyu ^c,d  

^a MCGILL UNIVERSITY   (Canada)

^b OAK RIDGE NATIONAL LABORATORY   (United States)

^c UNIVERSITY OF TENNESSEE   (United States)

^d UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84862666461     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.85.235421     Document Type: Article

References (64)

1. T. N. Theis and P. M. Solomon, Science SCIEAS 0036-8075 10.1126/science.1187597 327, 1600 (2010).
2. R. F. Service, Science SCIEAS 0036-8075 10.1126/science.323.5917.1000 323, 1000 (2009).
3. D. Josell, S. H. Brongersma, and Z. Tokei, Annu. Rev. Mater. Res. ARMRCU 1531-7331 10.1146/annurev-matsci-082908-145415 39, 231 (2009).
4. C. G. Tao, W. G. Cullen, and E. D. Williams, Science SCIEAS 0036-8075 10.1126/science.1186648 328, 736 (2010).
5. T. Taychatanapat, K. I. Bolotin, F. Kuemmeth, and D. C. Ralph, Nano Lett. NALEFD 1530-6984 10.1021/nl062631i 7, 652 (2007). (Pubitemid 46516042)
6. S. M. Rossnagel and T. S. Kuan, J. Vac. Sci. Technol. B JVTBD9 0734-211X 10.1116/1.1642639 22, 1071 (2004).
7. K. H. Bevan, W. Zhu, H. Guo, and Z. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.156404 106, 156404 (2011).
8. Z. Z. Chen, N. Kioussis, K.-N. Tu, N. Ghoniem, and J.-M. Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.015703 105, 015703 (2010).
9. K.-C. Chen, W.-W. Wu, C.-N. Liao, L.-J. Chen, and K.-N. Tu, Science SCIEAS 0036-8075 10.1126/science.1160777 321, 1066 (2008).
10. K.-N. Tu, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.1611263 94, 545 (2003).
11. D. B. Strukov, G. S. Snider, D. R. Stewart, and R. S. Williams, Nature (London) NATUAS 0028-0836 10.1038/nature06932 453, 80 (2008). (Pubitemid 351630336)
12. G. E. Begtrup, W. Gannett, T. D. Yuzvinsky, V. H. Crespi, and A. Zettl, Nano Lett. NALEFD 1530-6984 10.1021/nl803800c 9, 1835 (2009).
13. T. D. Yuzvinsky, W. Mickelson, S. Aloni, G. E. Begtrup, A. Kis, and A. Zettl, Nano Lett. NALEFD 1530-6984 10.1021/nl061671j 6, 2718 (2006). (Pubitemid 46131339)
14. F. Xiong, A. D. Liao, D. Estrada, and E. Pop, Science SCIEAS 0036-8075 10.1126/science.1201938 332, 568 (2011).
15. X. Jia, M. Hofmann, V. Meunier, B. G. Sumpter, J. Campos-Delgado, J. M. Romo-Herrera, H. Son, Y.-P. Hsieh, A. Reina, J. Kong, M. Terrones, and M. S. Dresselhaus, Science SCIEAS 0036-8075 10.1126/science.1166862 323, 1701 (2009).
16. D. M. Eigler, C. P. Lutz, and W. E. Rudge, Nature (London) NATUAS 0028-0836 10.1038/352600a0 352, 600 (1991).
17. S. Assefa, F. Xia, and Y. A. Vlasov, Nature (London) NATUAS 0028-0836 10.1038/nature08813 464, 80 (2010).
18. K. H. Bevan, H. Guo, E. D. Williams, and Z. Zhang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.235416 81, 235416 (2010).
19. A. H. Verbruggen, IBM J. Res. Dev. IBMJAE 0018-8646 10.1147/rd.321.0093 32, 93 (1988).
20. K. H. Bevan, MRS Proceedings 1423, mrsf11-1423-rr09-06 (2012).
21. R. S. Sorbello, Superlattices Microstruct. SUMIEK 0749-6036 10.1006/spmi.1997.0534 23, 713 (1998).
22. O. Bondarchuk, W. G. Cullen, M. Degawa, E. D. Williams, T. Bole, and P. J. Rous, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.206801 99, 206801 (2007). (Pubitemid 350113059)
23. S. Heinze, N.-P. Wang, and J. Tersoff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.186802 95, 186802 (2005). (Pubitemid 41777308)
24. P. Kumar and R. S. Sorbello, Thin Solid Films THSFAP 0040-6090 10.1016/0040-6090(75)90240-0 25, 25 (1975).
25. R. S. Sorbello, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.39.4984 39, 4984 (1989).
26. A. Lodder, Defect Diffus. Forum 1662-9507 10.4028/www.scientific.net/DDF. 261-262.77 77, 77 (2007).
27. D. Kandel and E. Kaxiras, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1114 76, 1114 (1996).
28. G. C. Liang, A. W. Ghosh, M. Paulsson, and S. Datta, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.115302 69, 115302 (2004).
29. A. Umeno and K. Hirakawa, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3124654 94, 162103 (2009).
30. R. Yongsunthon, C.-G. Tao, P. Rous, and E. D. Williams, Nanophenomena at Surfaces, Springer Series in Surface Science Vol. 47 (Springer, Berlin, 2011), p. 113.
31. D. Waldron, L. Liu, and H. Guo, Nanotechnology NNOTER 0957-4484 10.1088/0957-4484/18/42/424026 18, 424026 (2007). (Pubitemid 47479619)
32. Y. Q. Ke, F. Zahid, V. Timoshevskii, K. Xia, D. Gall, and H. Guo, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.155406 79, 155406 (2009).
33. J. Homoth, M. Wenderoth, T. Druga, L. Winking, R. G. Ulbrich, C. A. Bobisch, B. Weyers, A. Bannani, E. Zubkov, A. M. Bernhart, M. R. Kaspers, and R. Moeller, Nano Lett. NALEFD 1530-6984 10.1021/nl803783g 9, 1588 (2009).
34. S. Datta, Electronic Transport in Mesoscopic Systems (Cambridge University Press, Cambridge, 1996).
35. M. J. McLennan, Y. Lee, and S. Datta, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.43.13846 43, 13846 (1991).
36. S. Datta, W. D. Tian, S. H. Hong, R. Reifenberger, J. I. Henderson, and C. P. Kubiak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.2530 79, 2530 (1997).
37. D. A. Papaconstantopoulos, Handbook of the Band Structure of Elemental Solids (Springer, Berlin, 2011).
38. T.-C. Chiang, AAPPS Bulletin 18, 2 (2008).
39. Z. Y. Zhang, Q. Niu, and C. K. Shih, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5381 80, 5381 (1998).
40. N. N. Negulyaev, V. S. Stepanyuk, L. Niebergall, P. Bruno, W. Hergert, J. Repp, K.-H. Rieder, and G. Meyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.226601 101, 226601 (2008).
41. G. Kresse and J. Furthmüller, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.54.11169 54, 11169 (1996).
42. P. E. Blöchl, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.50. 17953 50, 17953 (1994).
43. G. Kresse and D. Joubert, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.59.1758 59, 1758 (1999).
44. J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.3865 77, 3865 (1996).
45. M. Methfessel and A. T. Paxton, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.40.3616 40, 3616 (1989).
46. Y. Mo, W. Zhu, E. Kaxiras, and Z. Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.216101 101, 216101 (2008).
47. N. Troullier and J. L. Martins, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.43.1993 43, 1993 (1991).
48. J. M. Soler, E. Artacho, J. D. Gale, A. García, J. Junquera, P. Ordejón, and D. Sánchez-Portal, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/14/11/302 14, 2745 (2002). (Pubitemid 34288362)
49. S. García-Gil, A. García, N. Lorente, and P. Ordejón, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.075441 79, 075441 (2009).
50. R. M. Martin, Electronic Structure: Basic Theory and Practical Methods (Cambridge University Press, Cambridge, 2005).
51. J. Taylor, H. Guo, and J. Wang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.63.245407 63, 245407 (2001).
52. R. Landauer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.14.1474 14, 1474 (1976).
53. e, j can be determined through either Bader or Mulliken charge analysis.
54. R. F. W. Bader, Chem. Rev. CHREAY 0009-2665 10.1021/cr00005a013 91, 893 (1991).
55. R. S. Mulliken, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1740588 23, 1833 (1955).
56. D. N. Bly and P. J. Rous, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.53.13909 53, 13909 (1996).
57. eq)] / 2. This is particularly true for Ag, where the density of states is energetically flat around the Fermi energy (when averaged over all states in k space). The same linear response scaling applies to the voltage drop.
58. M. Büttiker, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/5/50/017 5, 9361 (1993).
59. X. Zhao, J. Wang, and H. Guo, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.60.16730 60, 16730 (1999).
60. W. Zhu, H. Chen, K. H. Bevan, and Z. Zhang, ACS Nano. 1936-0851 10.1021/nn200052f 5, 3707 (2011).
61. J. Kohanoff and N. I. Gidopoulos, Handbook of Molecular Physics and Quantum Chemistry (Wiley, Chichester, 2003).
62. X. Gonze, P. Käckell, and M. Scheffler, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.41.12264 41, 12264 (1990).
63. S. G. Louie, S. Froyen, and M. L. Cohen, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.26.1738 26, 1738 (1982).
64. L. Kleinman and D. M. Bylander, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.48.1425 48, 1425 (1982).